need someone who is good in statistics.

1) Out of 19 rats, 12 were fed a high protein diet, the other 7 were fed a low protein diet. Their weights after twelve weeks are

High protein: 134, 146, 104, 119, 124, 161, 107, 83, 113, 129, 97, and 123

Low protein: 70, 118, 101, 85, 107, 132, 94.

1. a) Formulate a suitable null hypothesis and test it assuming equal variances for a high protein diet population and a low protein diet population. (Significance level: 5%) (1)

2. b) Formulate a suitable null hypothesis and test it assuming unequal variances for a high protein diet population and a low protein diet population. (significance level: 5%) (1)

3. c) Do your results change, if you assume that you calculated the sample variance for 60 rats being fed a high protein diet, and 67 a low protein diet? (1)

 

2) The calorie content of beef and poultry hotdogs has been tested, and yielded the following measures:

Beef: 186, 181, 176, 149, 184, 190, 158, 139, 175, 148, 152, 111, 141, 153, 190, 157, 131, 149, 135, 132

Poultry: 129, 132, 102, 106, 94, 102, 87, 99, 170, 113, 135, 142, 86, 143, 152, 146, 144

 

Formulate a suitable null hypothesis to assess your belief that the average calories of poultry hotdogs is lower than that of beef hotdogs.

1. a) Test your hypothesis assuming equal variances for the two populations. (1)

2. b) Test your hypothesis assuming unequal variances for the two populations. (1)